An operational calculus formulation of fractional calculus with general analytic kernels
Noosheza Rani, Arran Fernandez
Abstract
<abstract><p>Fractional calculus with analytic kernels provides a general setting of integral and derivative operators that can be connected to Riemann–Liouville fractional calculus via convergent infinite series. We interpret these operators from an algebraic viewpoint, using Mikusiński's operational calculus, and utilise this algebraic formalism to solve some fractional differential equations.</p></abstract>
Topics & Concepts
Fractional calculusOperational calculusTime-scale calculusMathematicsCalculus (dental)Algebraic numberDifferential calculusConvergent seriesMultivariable calculusAlgebra over a fieldApplied mathematicsPure mathematicsMathematical analysisPower seriesDentistryControl engineeringEngineeringMedicineFractional Differential Equations SolutionsMathematical functions and polynomialsIterative Methods for Nonlinear Equations